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Finding the Fourth Proportional to 854.58, 1,281.76 and 306.69

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Solution

The fourth proportional to 854.58, 1,281.76 and 306.69 is: 459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.58 : 1,281.76 = 306.69 : x
  2. Step 2: Convert to fraction form
    854.58/1,281.76 = 306.69/x
  3. Step 3: Cross multiply
    854.58x = 1,281.76 × 306.69
  4. Step 4: Simplify right side
    854.58x = 393,097.40
  5. Step 5: Solve for x
    x = 393,097.40/854.58
  6. Step 6: Final answer
    x = 459.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.